FRACTIONS


Dividing Mixed Numbers

When Mixed Numbers are Divided, those Mixed Numbers

must first be changed to Improper Fractions. The "Divided By"

Fraction is inverted. Then the Numerators and the Denominators

are Multiplied.




To divide these two mixed numbers, change the mixed

numbers to improper fractions.



2
1

2
1
1

3


2
1

2
=
5

2


1
1

3
=
4

3


Invert the "divided by" fraction.


5

2
3

4



Now, multiply the numerators and the denominators.


5

2
x
x
3

4
=
=
15

8



Change the resulting improper fraction to a mixed number.


15

8
=
1
7

8


2
1

2
1
1

3
=
1
7

8




If the resulting proper fraction can be reduced, then do so.


4
1

2
1
1

4


4
1

2
=
9

2


1
1

4
=
5

4


9

2
4

5


9

2
x
x
4

5
=
=
36

10


36

10
=
3
6

10


3
6

10
=
3
3

5


4
1

2
1
1

4
=
3
3

5




RULE

Dividing Mixed Numbers
Change the Mixed Numbers to Improper Fractions.

Invert the "Divided By" Fraction.

Multiply the Numerators to find the New Numerator.

Multiply the Denominators to find the new New Denominator.

Change the resulting Improper Fraction to a Mixed Number.

If the Proper Fraction can be Reduced, then do so.